Details

sample390.0ms

Algorithm

intervals

Results

183.0ms	1328×	body	80	nan
42.0ms	397×	body	80	valid
8.0ms	15×	body	640	valid
4.0ms	11×	body	320	valid
3.0ms	2×	body	1280	valid
1.0ms	4×	body	160	valid

simplify563.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.0b	(* a (- (log (- 1.0 z)) b))
0.1b	(* y (- (log z) t))
5.6b	(log (- 1.0 z))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`log-prod`
16×	`associate-r` `associate--l+`
15×	`add-cube-cbrt`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l`
7×	`distribute-lft-out--`
5×	`difference-of-squares`
4×	`sub-neg` `associate-*r/` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`log-div`
1×	`rem-log-exp` `exp-sum`

Counts

4 → 105

Calls

4 calls:

184.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
54.0ms	(* a (- (log (- 1.0 z)) b))
37.0ms	(* y (- (log z) t))
9.0ms	(log (- 1.0 z))

series530.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
104.0ms	(* a (- (log (- 1.0 z)) b))
90.0ms	(* y (- (log z) t))
64.0ms	(log (- 1.0 z))

simplify982.0ms

Counts: 117 → 117

prune502.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.1b	(* y (- (log z) t))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`associate--l+`
17×	`associate-r`
15×	`add-cube-cbrt`
12×	`pow1` `distribute-rgt-in` `log-prod` `distribute-lft-in`
10×	`add-cbrt-cube`
9×	`add-exp-log` `associate-l`
7×	`distribute-lft-out--` `add-log-exp`
6×	`sub-neg`
4×	`associate-*r/`
3×	`exp-prod` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`flip3--` `exp-sum` `log-pow` `flip--` `rem-exp-log` `difference-of-squares`
1×	`sum-log`

Counts

4 → 103

Calls

4 calls:

189.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
710.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
907.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
43.0ms	(* y (- (log z) t))

series769.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
336.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
143.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
81.0ms	(* y (- (log z) t))

simplify915.0ms

Counts: 115 → 115

prune616.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
0.5b	(cbrt (- (log z) t))
0.5b	(cbrt (- (log z) t))
0.5b	(cbrt (- (log z) t))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
52×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
22×	`pow1` `distribute-lft-out--`
18×	`cbrt-div`
15×	`add-cube-cbrt` `swap-sqr`
11×	`log-pow`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

94.0ms	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
9.0ms	(cbrt (- (log z) t))
9.0ms	(cbrt (- (log z) t))
9.0ms	(cbrt (- (log z) t))

series715.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
113.0ms	(cbrt (- (log z) t))
96.0ms	(cbrt (- (log z) t))
367.0ms	(cbrt (- (log z) t))

simplify817.0ms

Counts: 123 → 123

prune788.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.1b	(* y (- (log z) t))
0.1b	(* y (- (log z) t))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

44×	`associate--l+`
40×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
26×	`associate-r`
24×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
20×	`add-cube-cbrt`
16×	`pow1`
14×	`distribute-lft-out--`
12×	`add-exp-log` `sub-neg` `associate-l` `add-cbrt-cube`
8×	`associate-*r/`
4×	`flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

964.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
845.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
36.0ms	(* y (- (log z) t))
29.0ms	(* y (- (log z) t))

series456.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
130.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
73.0ms	(* y (- (log z) t))
92.0ms	(* y (- (log z) t))

simplify692.0ms

Counts: 154 → 154

prune864.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes277.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify770.0ms

end0.0ms

sample12.2s

Algorithm

intervals

Results

5.7s	41037×	body	80	nan
1.7s	12374×	body	80	valid
557.0ms	400×	body	320	valid
218.0ms	378×	body	640	valid
75.0ms	78×	body	1280	valid
62.0ms	280×	body	160	valid